1/3 NLHE - Common Scenario, Looking for Feedback

So this situation I’ve come across several times and it’s pretty standard, but looking for some affirmation I’m playing correctly.

I open to $10 in MP with AsQs, only get 1 caller on button.

Flop comes A 2 6 rainbow. I c bet $8, button calls.

Turn is (A 2 6) 7. I bet again $18, button calls again.

River is (A 2 6 7) J, no flushes possible. I fire third barrel $35, button 3 bets to $120 (I have $250 remaining)

My question is that my play here seems standard, and obviously the decision is either to call or fold, as raising likely only gets called by better. Without much read on the opponent, are my plays in this hand correct? On river, should I have considered checking? Would you lean calling or folding to his raise?